1) Three moles of nitrogen gas (N2) at 33.4 C are contained in a 35.8 L cylinder. Find the pressure the gas exerts on the cylinder walls. Answer in units of Pa.

2) An auditorium has dimensions 10 m by 22 m by 44 m. How many moles of air occupy the auditorium at 1 atm and 15 C? The value of the universal gas constant is 8.31451 J/K mol. Answer in units of mol.

3) A building made with a steel structure is 897 m high on a winter day when the temperature is 0F. How much taller is the building when the temperature is T = 115F? The linear expansion coefficient of steel is 1.1 105 ( C)1 . Answer in units of cm

4) A constant-volume gas thermometer is calibrated in dry ice (which is carbon dioxide in the solid state and has a temperature of 80C) and in boiling ethyl alcohol (78C). The two pressures are 0.9 atm and 1.608 atm. What value of absolute zero does the calibration yield? Answer in units of C.

B) What is the pressure at the boiling point of water? Answer in units of atm.

5) A bridge is made with segments of concrete 109 m long (at the original temperature). If the linear expansion coefficient for concrete is 1.2 105 ( C)1 , how much spacing is needed to allow for expansion for an increase in temperature of 45F? Answer in units of cm.

6) What is the final equilibrium temperature when 20 g of milk at 26C is added to 144 g of coffee at 91C? Assume the specific heats of milk and coffee are the same as that of water and neglect the specific heat of the container. Answer in units of C.

7) How much energy is required to change a 36 g ice cube from ice at 14 C to steam at 118 C? The specific heat of ice is 2090 J/kg C, the specific heat of water is 4186 J/kg C and the specific heat of steam is 2010 J/kg C. The heat of fusion of water is 333000 J/kg and the heat of vaporization is 2.26 106 J/kg. Answer in units of J

8) 5 mol of an ideal gas is kept at 890C in an expansion from 1 L to 5 L . How much work is done by the gas? The universal gas constant is 8.31 J/K/mol . Answer in units of J.

9) 18 mol of an ideal gas expands isothermally at 373 K to 4.3 its initial volume. Find the heat flow into the system. The universal gas constant is 8.31 J/K mol . Answer in units of J.

10) At 40 m below the surface of the sea (density of 919 kg/m3 ), where the temperature is 7 C, a diver exhales an air bubble having a volume of 0.9 cm3 . The acceleration of gravity is 9.8 m/s 2 . If the surface temperature of the sea is 12C, what is the volume of the bubble immediately before it breaks the surface? Answer in units of cm3 .

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